The College of Education for Pure Sciences, Department of Mathematics, organized a scientific lecture on
(Taylor series and expansion using exponential polynomials)
The lecture, which was moderated by the lecturer (Ali Hassan Ali), included
This study, a new extension of the famous Taylor theory related to linear differential operators with constant coefficients was derived. By using divided differences with repeated arguments, the so-called distinctive element of the kernel of the differential operator was described to create an extension of Taylor's theory using exponential polynomials with integral residues. New theorems were also derived for the mean value theorem to be employed in several mathematical applications, including approximating functions and calculating error estimates resulting from iterative and numerical methods.
